Second-order characterizations of tilt stability with applications to nonlinear programming
BS Mordukhovich, TTA Nghia - Mathematical Programming, 2015 - Springer
The paper is devoted to the study of tilt-stable local minimizers of general optimization
problems in finite-dimensional spaces and its applications to classical nonlinear programs …
problems in finite-dimensional spaces and its applications to classical nonlinear programs …
On computation of generalized derivatives of the normal-cone mapping and their applications
H Gfrerer, JV Outrata - Mathematics of Operations Research, 2016 - pubsonline.informs.org
The paper concerns the computation of the graphical derivative and the regular (Fréchet)
coderivative of the normal-cone mapping related to C 2 inequality constraints under very …
coderivative of the normal-cone mapping related to C 2 inequality constraints under very …
Second-order variational analysis and characterizations of tilt-stable optimal solutions in infinite-dimensional spaces
BS Mordukhovich, TTA Nghia - Nonlinear Analysis: Theory, Methods & …, 2013 - Elsevier
The paper is devoted to developing second-order tools of variational analysis and their
applications to characterizing tilt-stable local minimizers of constrained optimization …
applications to characterizing tilt-stable local minimizers of constrained optimization …
Second-order variational analysis in conic programming with applications to optimality and stability
This paper is devoted to the study of a broad class of problems in conic programming
modeled via parameter-dependent generalized equations. In this framework we develop a …
modeled via parameter-dependent generalized equations. In this framework we develop a …
On relaxing the Mangasarian–Fromovitz constraint qualification
For the classical nonlinear program, two new relaxations of the Mangasarian–Fromovitz
constraint qualification are discussed and their relationship with some standard constraint …
constraint qualification are discussed and their relationship with some standard constraint …
Tilt stability in nonlinear programming under Mangasarian-Fromovitz constraint qualification
BS Mordukhovich, JV Outrata - Kybernetika, 2013 - eudml.org
Abstract top The paper concerns the study of tilt stability of local minimizers in standard
problems of nonlinear programming. This notion plays an important role in both theoretical …
problems of nonlinear programming. This notion plays an important role in both theoretical …
Graphical derivatives and stability analysis for parameterized equilibria with conic constraints
The paper concerns parameterized equilibria governed by generalized equations whose
multivalued parts are modeled via regular normals to nonconvex conic constraints. Our main …
multivalued parts are modeled via regular normals to nonconvex conic constraints. Our main …
Some remarks on stability of generalized equations
R Henrion, AY Kruger, JV Outrata - Journal of Optimization Theory and …, 2013 - Springer
The paper concerns the computation of the graphical derivative and the regular (Fréchet)
coderivative of the solution map to a class of generalized equations, where the multivalued …
coderivative of the solution map to a class of generalized equations, where the multivalued …
The last dozen of years of OR research in Czechia and Slovakia
J Jablonský, M Černý, J Pekár - Central European Journal of Operations …, 2022 - Springer
The paper discusses operations research (OR) history and achievements in Czechia and
Slovakia in 2010–2021 including the most significant OR professional events in the region …
Slovakia in 2010–2021 including the most significant OR professional events in the region …
On estimating the regular normal cone to constraint systems and stationarity conditions
M Benko, H Gfrerer - Optimization, 2017 - Taylor & Francis
Estimating the regular normal cone to constraint systems plays an important role for the
derivation of sharp necessary optimality conditions. We present two novel approaches and …
derivation of sharp necessary optimality conditions. We present two novel approaches and …